Theorems · Definition · order theory
IsSimpleOrder.lattice
{α : Type u_4} → [DecidableEq α] → [inst : PartialOrder α] → [inst_1 : BoundedOrder α] → [IsSimpleOrder α] → Lattice αA simple partial ordered BoundedOrder induces a lattice.
This is not an instance to prevent loops
- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Latticestatement · cited by 916
- BoundedOrderstatement and proof · cited by 270
- IsSimpleOrderstatement and proof · cited by 54
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